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Finding the Fourth Proportional to 2,166.53, 2,989.82 and 1,235.03

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Solution

The fourth proportional to 2,166.53, 2,989.82 and 1,235.03 is: 1,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.53 : 2,989.82 = 1,235.03 : x
  2. Step 2: Convert to fraction form
    2,166.53/2,989.82 = 1,235.03/x
  3. Step 3: Cross multiply
    2,166.53x = 2,989.82 × 1,235.03
  4. Step 4: Simplify right side
    2,166.53x = 3,692,511.22
  5. Step 5: Solve for x
    x = 3,692,511.22/2,166.53
  6. Step 6: Final answer
    x = 1,704.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.